Pertanyaan

∫ ( 3 x 2 + 2 x + 3 ) d x = ....

$\int (3 x^{2} + 2 x + 3) d x = ....$

R. Febrianti

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Jawaban

nilai dari

nilai dari integral open parentheses 3 x squared plus 2 x plus 3 close parentheses d x equals x cubed plus x squared plus 3 x plus C.

Pembahasan

Diketahui berdasarkan sifat integral penjumlahan yaitu maka Dengan demikian nilai dari

Diketahui integral open parentheses 3 x squared plus 2 x plus 3 close parentheses d x berdasarkan sifat integral penjumlahan yaitu integral f open parentheses x close parentheses plus g open parentheses x close parentheses d x equals integral f open parentheses x close parentheses d x plus integral g open parentheses x close parentheses d x maka

$table attributes columnalign right center left columnspacing 0px end attributes row cell integral open parentheses 3 x squared plus 2 x plus 3 close parentheses d x end cell equals cell integral 3 x squared d x plus integral 2 x d x plus integral 3 d x end cell row cell integral open parentheses 3 x squared plus 2 x plus 3 close parentheses d x end cell equals cell fraction numerator 3 x to the power of 2 plus 1 end exponent over denominator 2 plus 1 end fraction plus fraction numerator 2 x to the power of 1 plus 1 end exponent over denominator 1 plus 1 end fraction plus 3 x plus C end cell row cell integral open parentheses 3 x squared plus 2 x plus 3 close parentheses d x end cell equals cell x cubed plus x squared plus 3 x plus C end cell end table$

Dengan demikian nilai dari integral open parentheses 3 x squared plus 2 x plus 3 close parentheses d x equals x cubed plus x squared plus 3 x plus C.